Final answer:
Using proportional scaling based on the survey of 60 students, the most reasonable estimate for the number of students in the Timpony School District who watch more than 4 hours of TV each day is c. 267.
Step-by-step explanation:
The Timpony School District surveyed a random sample of 60 middle school students about the amount of time they watch TV, and 14 students reported averaging more than 4 hours of TV per day. To estimate the number of students who watch more than 4 hours of TV each day in the entire Timpony School District, which has 1143 middle school students, we can use proportional scaling.
To calculate the estimate, we can set up a proportion where 14 out of 60 students in the sample watch more than 4 hours of TV each day. Then, we can solve for the unknown 'x' in the following proportion: 14/60 = x/1143.
By cross-multiplying and solving for 'x', we get:
- 14 * 1143 = x * 60
- 16002 = 60x
- x = 16002 / 60
- x = 267 (rounded to the nearest whole number)
So, the most reasonable estimate for the number of students who watch more than 4 hours of TV each day in the Timpony School District is 267.